Solve 12div3/5-(-17/10)=

$$12 \div \frac { 3 } { 5 } - ( - 1 \frac { 7 } { 10 } ) =$$

Evaluate

$$\frac{217}{10}=21.7$$

Solution Steps

Divide 12 by \frac{3}{5} by multiplying 12 by the reciprocal of \frac{3}{5}.

$$12\times \frac{5}{3}-\left(-\frac{1\times 10+7}{10}\right)$$

Express 12\times \frac{5}{3} as a single fraction.

$$\frac{12\times 5}{3}-\left(-\frac{1\times 10+7}{10}\right)$$

Multiply 12 and 5 to get 60.

$$\frac{60}{3}-\left(-\frac{1\times 10+7}{10}\right)$$

Divide 60 by 3 to get 20.

$$20-\left(-\frac{1\times 10+7}{10}\right)$$

Multiply 1 and 10 to get 10.

$$20-\left(-\frac{10+7}{10}\right)$$

Add 10 and 7 to get 17.

$$20-\left(-\frac{17}{10}\right)$$

The opposite of -\frac{17}{10} is \frac{17}{10}.

$$20+\frac{17}{10}$$

Convert 20 to fraction \frac{200}{10}.

$$\frac{200}{10}+\frac{17}{10}$$

Since \frac{200}{10} and \frac{17}{10} have the same denominator, add them by adding their numerators.

$$\frac{200+17}{10}$$

Add 200 and 17 to get 217.

$$\frac{217}{10}$$

Factor

$$\frac{7 \cdot 31}{2 \cdot 5} = 21\frac{7}{10} = 21.7$$